[jdk21u] RFR: 8314679: SA fails to properly attach to JVM after having just detached from a different JVM

[Chris Plummer]

Clean merge. Needed to address issue uncovered by [JDK-8294323](https://bugs.openjdk.org/browse/JDK-8294323)

-------------

Commit messages:
 - Backport 38a9edfb7ee2d91ff52074137c5b69e27bcdbdc3

Changes: https://git.openjdk.org/jdk21u/pull/115/files
 Webrev: https://webrevs.openjdk.org/?repo=jdk21u&pr=115&range=00
  Issue: https://bugs.openjdk.org/browse/JDK-8314679
  Stats: 95 lines in 3 files changed: 94 ins; 0 del; 1 mod
  Patch: https://git.openjdk.org/jdk21u/pull/115.diff
  Fetch: git fetch https://git.openjdk.org/jdk21u.git pull/115/head:pull/115

PR: https://git.openjdk.org/jdk21u/pull/115